Question

Express each of the following in the simplest form: 12:72
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Answer 1

Answer:

6

Step-by-step explanation:

12:72

12/72

6

Hope it will help

Answer 2

Answer:

Simplest form of $12 : 72$ is $1: 6$

Step-by-step explanation:

To convert : given ratio into simplest form

Given : $12 : 72$

Solution :

• We can write $12 : 72$ as , $\frac{12}{72}$ .
• To convert given ratio into simplest form we find HCF of numerator and denominators of given fraction .
• To find HCF of we find prime factors of these numbers.
• Prime factors of $12 = 2\times 2\times 3$
• Prime factors of $72 = 2\times 2 \times 2 \times 3 \times 3$
• Hence, HCF of $12$ and $72$ = $2\times 2\times 3$

                                                 $= 12$

• Now, dividing numerator and denominator by HCF, we get,

         $\frac{12 \div 12}{72 \div 12}=\frac{1}{6}$